1) (book 4.12) Mental health. The 2010 General Social Surveyasked the question: “For how many...

Mental health. The 2010 General Social Survey asked the question: “For how many days during the past 30 days was your mental health, which includes stress, depression, and problems with emotions, not good?” Based on responses from 1,151 US residents, the survey reported a 95% confidence interval of 3.40 to 4.24 days in 2010.

(a) Interpret this interval in context of the data.

(b) What does “95% confident” mean? Explain in the context of the application.

(c) Suppose the researchers think a 99% confidence level would be more appropriate for this

Interval. Will this new interval be smaller or larger than the 95% confidence interval?

(d) If a new survey were to be done with 500 Americans, would the standard error of the estimate be larger, smaller, or about the same. Assume the standard deviation has remained constant since 2010.

Expert Solution

orchestra answered 2 years ago

The 2010 General Social Survey asked the question: “For how many days during the past 30...

The 2010 General Social Survey asked the question: “For how many days during the past 30 days was your mental health, which includes stress, depression, and problems with emotions, not good?” Based on responses from 1,151 US residents, the survey reported a 95% confidence interval of 3.40 to 4.24 days in 2010. (a) Interpret this interval in the context of the data. (b) What does “95% confidence” mean? Explain in the context of the application. (c) Suppose the researchers think...

The 2010 General Social Survey asked the question: "For how many days during the past 30...

The 2010 General Social Survey asked the question: "For how many days during the past 30 days was your mental health, which includes stress, depression, and problems with emotions, not good?" Based on responses from 1,151 US residents, the survey reported a 95% confidence interval of 3.40 to 4.24 days in 2010. (a) Interpret this interval in context of the data. 95% of surveys will report a mean number of ''not good'' days in the past 30 is between 3.40...

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